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Finding the Fourth Proportional to 451,472.80, 676,731.72 and 166,980.52

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Solution

The fourth proportional to 451,472.80, 676,731.72 and 166,980.52 is: 250,294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,472.80 : 676,731.72 = 166,980.52 : x
  2. Step 2: Convert to fraction form
    451,472.80/676,731.72 = 166,980.52/x
  3. Step 3: Cross multiply
    451,472.80x = 676,731.72 × 166,980.52
  4. Step 4: Simplify right side
    451,472.80x = 113,001,014,506.09
  5. Step 5: Solve for x
    x = 113,001,014,506.09/451,472.80
  6. Step 6: Final answer
    x = 250,294.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.